Explicit monoid structure is provided for the class of canonical subfield preserving polynomials over finite fields. Some classical results and asymptotic estimates will follow as corollaries.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-3,
author = {Giacomo Micheli and Davide Schipani},
title = {On canonical subfield preserving polynomials},
journal = {Acta Arithmetica},
volume = {166},
year = {2014},
pages = {23-32},
zbl = {06360638},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-3}
}
Giacomo Micheli; Davide Schipani. On canonical subfield preserving polynomials. Acta Arithmetica, Tome 166 (2014) pp. 23-32. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-3/